Solutions%20to%20assignment%20#1

Solutions%20to%20assignment%20#1 - 198 1 198 39204 Total 35...

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Solutions to assignment #1 1. (a) 6 2 – 6 7 6 – 9 8 5 – 6 – 7 – 7 – 7 – 9 9 0 – 7 10 1 – 4 – 6 – 8 – 9 11 0 – 1 – 7 – 7 – 7 12 13 7 14 3 – 5 – 7 – 9 15 0 – 0 – 2 – 3 – 4 16 2 17 7 18 19 0 (b) ( 29 2 117.14 32.96 1 x x x x s n n - = = = = - (c) 62 66 76 79 85 86 87 87 87 89 90 97 101 104 106 108 109 110 111 117 117 117 137 143 145 147 149 150 150 152 153 154 162 177 190 1 1 3 3 35 1 : .25 35 8.75 9 87; : 18 110 2 : .75 35 26.25 27 149 Q th Q median th median Q th Q + = = = = = = (d) Box-and-whisker Plot 60 80 100 120 140 160 180 200 (e) Number of classes: 1 3.322log35 6.129 6 + = Class width: max min 190 62 21.3 21 6 w number of classes - - = = =
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Class limits midpoint frequency x f x² f 62 - 82 72 4 288 20736 83 - 103 93 9 837 77841 104 - 124 114 9 1026 116964 125 - 145 135 3 405 54675 146 - 166 156 8 1248 194688 167 - 187 177 1 177 31329 188 - 209
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Unformatted text preview: 198 1 198 39204 Total 35 4179 535437 (f) 4179 119.4 35 xf x n = = = ( 29 ( 29 ( 29 2 2 2 35(535437) (4179) 32.75 1 35(35 1) n x f xf s n n--= = =--Values of the mean and the standard deviation are close to those from raw data. (g) Frequency histogram 2 4 6 8 10 62 - 82 83 - 103 104 - 124 125 - 145 146 - 166 167 - 187 188 - 209 Data values Frequency Right skewed distribution. (h) (i) Ogive 5 10 15 20 25 30 35 40 62 83 104 125 146 167 188 210 231 Data values Cumulative frequency cumulative freq less than 62 less than 83 4 less than 104 13 less than 125 22 less than 146 25 less than 167 33 less than 188 34 less than 210 35...
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Solutions%20to%20assignment%20#1 - 198 1 198 39204 Total 35...

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